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Finding the Fourth Proportional to 9,190, 13,785.27 and 2,264.50

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Solution

The fourth proportional to 9,190, 13,785.27 and 2,264.50 is: 3,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190 : 13,785.27 = 2,264.50 : x
  2. Step 2: Convert to fraction form
    9,190/13,785.27 = 2,264.50/x
  3. Step 3: Cross multiply
    9,190x = 13,785.27 × 2,264.50
  4. Step 4: Simplify right side
    9,190x = 31,216,743.92
  5. Step 5: Solve for x
    x = 31,216,743.92/9,190
  6. Step 6: Final answer
    x = 3,396.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.